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Simplifying x2 + 21x + 188 = 0 Reorder the terms: 188 + 21x + x2 = 0 Solving 188 + 21x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-188' to each side of the equation. 188 + 21x + -188 + x2 = 0 + -188 Reorder the terms: 188 + -188 + 21x + x2 = 0 + -188 Combine like terms: 188 + -188 = 0 0 + 21x + x2 = 0 + -188 21x + x2 = 0 + -188 Combine like terms: 0 + -188 = -188 21x + x2 = -188 The x term is 21x. Take half its coefficient (10.5). Square it (110.25) and add it to both sides. Add '110.25' to each side of the equation. 21x + 110.25 + x2 = -188 + 110.25 Reorder the terms: 110.25 + 21x + x2 = -188 + 110.25 Combine like terms: -188 + 110.25 = -77.75 110.25 + 21x + x2 = -77.75 Factor a perfect square on the left side: (x + 10.5)(x + 10.5) = -77.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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